Navigating the new world of private equity - a conference summary

The Federal Reserve System's Private Equity Merchant Banking Knowledge Center, formed at the Chicago Fed in 2000 shortly after the passage of the Gramm–Leach–Bliley Act, sponsors an annual conference on new industry developments. This article summarizes the 2008 conference held on July 9 - 10.Private equity ; Investments

When worlds collide: the altered state of private equity - a conference summary

The Federal Reserve System’s Private Equity Merchant Banking Knowledge Center, formed at the Chicago Fed in 2000 after the passage of the Gramm-Leach-Bliley Act, sponsors an annual conference on new industry developments. This article summarizes the ninth annual conference, held on June 25-26, 2009.Private equity

Has risk management in private equity kept pace with rapid growth?

The Federal Reserve System's Private Equity Merchant Banking Knowledge Center, formed at the Chicago Fed in 2000 after the Gramm-Leach-Bliley Act was passed, sponsors an annual conference on new industry developments. This article summarizes the 2007 conference, Private Equity Has Gone Big... Has Risk Management Kept Pace?, held August 2-3.Risk management

Challenges for private equity—the shifting wind of risk

The Federal Reserve System’s Private Equity and Merchant Banking Knowledge Center, formed at the Chicago Fed in 2000 after the passage of the Gramm–Leach–Bliley Act, sponsors an annual conference on new industry developments. This article summarizes the 2006 conference, “The Shifting Winds of Private Equity Risk,” held July 19–20.

In the wake of financial reform: what's next for community banks?

The sixth annual Community Bankers Symposium, co-sponsored by the Federal Reserve Bank of Chicago and the Federal Deposit Insurance Corporation (FDIC), was held at the Chicago Fed on November 19, 2010. This article summarizes the key presentations and discussions at the conference.Community banks ; Financial Regulatory Reform (Dodd-Frank Act)

Searching for the new normal: the rebuilding process for risk management - a conference summary

The Chicago Fed’s Supervision and Regulation Department, in conjunction with DePaul University’s Center for Financial Services, sponsored its third annual Financial Institution Risk Management Conference on April 6–7, 2010. The conference concentrated on comprehensive risk management, lessons learned, and headline issues.Risk ; Risk management

Risks and resolutions: the ‘day after’ for financial institutions - a conference summary

The Chicago Fed’s Supervision and Regulation Department, in conjunction with DePaul University’s Center for Financial Services, sponsored its second annual Financial Institutions Risk Management Conference on April 14–15, 2009. The conference focused on risk management, headline issues, and recent financial innovations.Financial institutions ; Risk

The impact of the financial crisis on community banks: a conference summary

The Chicago Fed’s 45th annual Conference on Bank Structure and Competition, which took place May 6–8, 2009, brought together industry personnel, regulators, and academics to discuss the recent financial crisis and financial regulatory reform, among other issues.Financial crises

Multidimensional entropic uncertainty relation based on a commutator matrix in position and momentum spaces

The uncertainty relation for continuous variables due to Byalinicki-Birula and Mycielski expresses the complementarity between two $n$-uples of canonically conjugate variables $(x_1,x_2,\cdots x_n)$ and $(p_1,p_2,\cdots p_n)$ in terms of Shannon differential entropy. Here, we consider the generalization to variables that are not canonically conjugate and derive an entropic uncertainty relation expressing the balance between any two $n$-variable Gaussian projective measurements. The bound on entropies is expressed in terms of the determinant of a matrix of commutators between the measured variables. This uncertainty relation also captures the complementarity between any two incompatible linear canonical transforms, the bound being written in terms of the corresponding symplectic matrices in phase space. Finally, we extend this uncertainty relation to R\'enyi entropies and also prove a covariance-based uncertainty relation which generalizes Robertson relation.Comment: 8 pages, 1 figur